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Expansions — Practice Quiz

ICSE · Class 9 · Mathematics

Try a 4-question quiz on Expansions for ICSE Class 9 Mathematics: tap an answer to check it and see why. 43 questions in the full chapter test.

43 questions25 flashcards12 formulas & key relations5 concepts

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A geometric representation showing how (a+b)² expands to a² + 2ab + b² using areas of squares and rectangles.
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Quick Quiz: Expansions

0/4

Tap an answer to check it instantly. No sign-up needed for these 4.

1

Expand (x + 3)²

2

What is the expansion of (2y - 5)²?

3

If (x + 4)² = x² + kx + 16, what is the value of k?

4

Calculate (11)² using the expansion formula

43 Questions·
multiple choicemultiple correct

Sample Questions

1multiple correct

Which of the following are correct expansions? (Select all correct answers)

Show answer

(a + 7)² = a² + 14a + 49, (3m - 2)² = 9m² - 12m + 4, (5 - n)² = 25 - 10n + n²

Correct: (a + 7)² = a² + 14a + 49 ✓, (3m - 2)² = 9m² - 12m + 4 ✓, (5 - n)² = 25 - 10n + n² ✓. Incorrect: (p + q)² should include 2pq term, (x - 1)² should be x² - 2x + 1

2multiple choice

Find the value of (9)² using expansion

Show answer

81

Write 9 = 10 - 1, then (9)² = (10 - 1)² = 10² - 2(10)(1) + 1² = 100 - 20 + 1 = 81

3multiple choice

What is the middle term coefficient in the expansion of (x + 5)²?

Show answer

10

(x + 5)² = x² + 10x + 25. The middle term is 10x, so the coefficient is 10. Using the formula 2ab where a = x, b = 5: 2(1)(5) = 10

4multiple correct

Which expressions can be written as perfect squares? (Select all correct answers)

Show answer

x² + 8x + 16, y² - 6y + 9, m² - 10m + 25

Perfect squares: x² + 8x + 16 = (x + 4)², y² - 6y + 9 = (y - 3)², m² - 10m + 25 = (m - 5)². For perfect squares, check if b² = 4ac pattern holds

+39 more questions on Expansions (ICSE Class 9 Mathematics)

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Frequently Asked Questions

What are the important topics in Expansions for ICSE Class 9 Mathematics?
Key topics in Expansions include Core ideas and identities, Worked verification of the main identity, Reciprocal identities and their use. Study these first, then practise questions on each for Class 9 exams.
How many practice questions are there for Expansions?
There are 43 questions on Expansions. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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